Semiclassical propagator and van Vleck in a mixed position-momentum determinant space

作     者：杨光参 

作者机构：School of Physics and Electronic Information Wenzhou University Wenzhou 325027 China 

出 版 物：《Chinese Physics B》 (中国物理B（英文版）)

年 卷 期：2006年第15卷第5期

页      面：919-922页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：semiclassical theory propagator mixed space 

摘      要：In this paper a semiclassical propagator in a mixed position-momentum space is derived in the formalism of Maslov＇s multi-dimensional semiclassical theory. The corresponding mixed van Vleck determinant is also given explicitly. The propagator can be used to locally fix semiclassical divergences in singular regions of configuration space. It is shown that when a semicla^sical propagator is transformed from one representation to another, its form is invariant.